Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files. Which pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download
Answer:
[tex]3.5x+7y\leq 50[/tex]
[tex]x+y\geq 10[/tex]
Step-by-step explanation:
Given : Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files.
To find : The pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download.
Solution :
The number of song files Jackson can download is x
The number of video files Jackson can download is y
→ x song files occupy a space of 3.5 MB per file,
So, number of space occupy by songs files = 3.5x MB
→ y media files occupy a space of 7 MB per file,
So, number of space occupy by video files = 7y MB
→ The total amount of MB used is [tex]3.5x+7y[/tex]
Jackson has 50 megabytes (MB) of space left on his smartphone.
The total amount must be less than or equal to 50 MB,
which can be represented as [tex]3.5x+7y\leq 50[/tex]
Jackson wants to download at least 10 media files,
which means [tex]x+y\geq 10[/tex]
Therefore, The two inequality form is
[tex]3.5x+7y\leq 50[/tex]
[tex]x+y\geq 10[/tex]
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A. How fast did Car B travel? (The formula R·T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)
The population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 15% in 10 years. what will be the population in 50 years? (round your answer to the nearest person.)
What is the area of a square deck, if one side is 10 feet long?
Answer:100 square feet
Step-by-step explanation: since we know that a square has all equal sides, and we know one length of one side is 10, we know all sides are ten then. We then multiply 10 x 10 which will equal, 100
If R is the midpoint of QS, QR= 8x-51 and RS=3x-6, find QS.
Answer: The required length of QS is 42 units.
Step-by-step explanation: Given that R is the midpoint of QS, where
[tex]QS=8x-51,~~RS=3x-6.[/tex]
We are to find the length of QS.
Since R is the midpoint of the segment QS, so we must have
[tex]QR=RS\\\\\Rightarrow 8x-51=3x-6\\\\\Rightarrow 8x-3x=51-6\\\\\Rightarrow 5x=45\\\\\Rightarrow x=\dfrac{45}{5}\\\\\Rightarrow x=9.[/tex]
Therefore, the length of QS is given by
[tex]QS\\\\=QR+RS\\\\=8x-51+3x-6\\\\=11x-57\\\\=11\times9-57\\\\=99-57\\\\=42.[/tex]
Thus, the required length of QS is 42 units.
A car drove 148 miles using 4 gallons of gasoline. How many gallons will it take to drive 9 1/4 miles?
What multiplies to 14 and adds to -15?
What two-dimensional cross-sections could we create by slicing the particular triangular prism
Add 1/7+7/10 as a fraction in simplest form
First, we need to find the least common denominator in order to add these fractions together. The lowest common denominator is 70.
[tex]\frac{10}{70}[/tex] + [tex]\frac{49}{70}[/tex] = [tex]\frac{59}{70}[/tex]
A man in a rowboat that is a = 2 miles from the nearest point A on a straight shoreline wishes to reach a house located at a point B that is b = 8 miles farther down the shoreline (see the figure). He plans to row to a point P that is between A and B and is x miles from the house, and then he will walk the remainder of the distance. Suppose he can row at a rate of 2 mi/hr and can walk at a rate of 4 mi/hr. If T is the total time required to reach the house, express T as a function of x.
The ratio of a number and 6 written as an algebraic expression is
The required algebraic expression is x / 6.
Given that,
In the question, was asked to determine the ratio of the number 6 in the form of algebraic expression.
The algebraic expression consists of constant and variable. eg x, y, z, etc.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Let the number be x,
The ratio of numbers x and 6,
= x / 6
Here above expression is an algebraic expression, because the x is a variable in the equation.
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Jimmy’s new cell phone cost him $49.99 when he signed a 2 year plan, which was 75% off the original place. What was the original price?
What number is greater 87 or 13.688?
The difference between 29 and a number
3. You are looking into two long distance telephone plans offered by GT&T. The “One Rate 5 cents” plan has a monthly fee of $7.95 and all calls are 5 cents per minute. The “One Rate 7 cents” plan has a monthly fee of $4.95 and all calls are 7 cents per minute. Under what circumstances is one plan less expensive than the other?
a. The "One Rate 5 cents" plan is less expensive for calls lasting less than 1.5 minutes. The "One Rate 7 cents" plan is less expensive for calls lasting more than 1.5 minutes.
b. The "One Rate 7 cents" plan is less expensive for calls lasting less than 1.5 minutes. The "One Rate 5 cents" plan is less expensive for calls lasting more than 1.5 minutes.
c. The "One Rate 5 cents" plan is less expensive for calls lasting less than 150 minutes. The "One Rate 7 cents" plan is less expensive for calls lasting more than 150 minutes.
d. The "One Rate 7 cents" plan is less expensive for calls lasting less than 150 minutes. The "One Rate 5 cents" plan is less expensive for calls lasting more than 150 minutes.
Answer:
D.The "One Rate 7 cents" plan is less expensive for calls lasting less than 150 minutes. The "One Rate 5 cents" plan is less expensive for calls lasting more than 150 minutes.
Step-by-step explanation:
let the total number of minutes of calls be x minutes.
Now let us find the total cost incurred in both plan for x mins.
Plan 5 cent : 7.95+0.05x
Plan 7 cent : 4.95+0.07x
Let us find the time at which both the plans will give you same Bill.
Hence
7.95+0.05x=4.95+0.07x
7.95-4.95=0.07x-0.05x
3=0.02x
x=150
Hence at 150th min, both the plan will charge you same cost. Hence the plan giving you less Bill for 100 mins will give you high Bill in 200 mins. Let us calculate the bill incurred by both plan at 100th min.
Plan 5 cent : 7.95+0.05×100=12.95
Plan 7 cent: 4.95+0.07×100=11.95
Hence plan 7 cent is lesser than 5 cent for calls more than 150 mins
Let find which plan cost you cheaper
Factor the expression completely:
x³ - 3x² - 4x + 12
Build the fraction to an equivalent fraction with the specified denominator. State the numerator. 5/12 = ?/60
It is estimated that each guest at a party will eat
9/10 pounds of chocolates. How many guests can be served with 45 pounds of chocolate?
Find the value of $ 15,000 at the end of one year if it is invested in an account that has an interest rate of 4.95 % and is compounded in accordance with the rules below. a. compounded monthly b. compounded daily (assuming a 365-day year) c. compounded quarterly
A) compounded monthly; A = $15,759.579
B) compounded quarterly; A = $15,756.396
What is Compound interest?Compound interest, also known as interest on principle and interest, is the practise of adding interest to the principal amount of a loan or deposit.
We have,
P = $15,000
R= 4.95%
a) Using A = P(1+ r/n[tex])^{nt[/tex]
A = 15,000 (1 + 0.0495 /12[tex])^{12[/tex]
A= 15,000 x 1.0506386172
A = $15,759.579
b) Again, A = P(1+ r/n[tex])^{nt[/tex]
A = 15,000 (1 + 0.0495 /365[tex])^{365[/tex]
c) Again, A = P(1+ r/n[tex])^{nt[/tex]
A = 15,000 (1 + 0.0495 /4.1[tex])^{4.1[/tex]
A = 15, 000 x 1.05042644766
A = $15,756.396
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Explain how u would use repeated subtraction to find 8÷2
Sylvia bought 8 tickets to a concert. Each ticket costs $18. To find the total cost in dollars, she added the product 8×10 to the product 8×8, for a total of 144. Which property did Sylvia use?
Answer:
distributive property
Step-by-step explanation:
im tired i just solved the problem good bye
how to solve -x+4=-2x-6
-x+4 = -2x-6
add 6 to each side:
-x+10 = -2x
add 1x to each side
10 = -x
divide each side by -1
x = -10
A school party visit the gift shop. They all want to buy a badge. Your friend needs to get 37 badges from the stock room. The badges come in packs of 10. How many packs does she need?
Answer:
She will need 4 packs.
Step-by-step explanation:
The badges come in packs of 10 but this person only needs 37 badges.
If she buys two packs, she will get 20 badges.
If she buys three packs, she will get 30 badges.
Is she buys four packs, she will get 40 badges.
She will need four packs so she can have 37 badges and there will be 3 remaining badges.
There are two pizzas. Conor ate 1⁄4 of a pizza, Brandon 2⁄8, Tyler 3⁄4, and Audrey4⁄8. Who ate the most of the two pizzas?
A. Audrey B. Tyler C. Brandon D. Conor
MODEL WITH MATHEMATICS
Write a problem about a real-world situation in which you would either write a percent as a decimal or write a decimal as a percent.
In 448,244, how is the relationship between the first pair of 4's the same as the relationship between the second pair of 4's?
The similar relationship between the two pairs of '4's in the number 448,244 is based on their order of magnitude or place value each pair differing by one order of magnitude.
Explanation:In the number 448,244, the relationship between the first pair of 4's is the same as the relationship between the second pair of 4's in terms of their place value or order of magnitude.
The first '4' is in the hundred thousands place and the second '4' is in the ten thousands place, a difference of one order of magnitude (105 vs 104). Similarly, the third '4' is in the hundreds place and the second '4' is in the units place, also a difference of one order of magnitude (102 vs 100). So, despite the fact they are located in different parts of the number, the relationship between each pair of '4's is consistent based on their order of magnitude.
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If two circles have the same circumference what do you know about their area
Which graph represents the function f(x)=8 1/3x
Answer:
The correct option is 2.
Step-by-step explanation:
The given function is
[tex]f(x)=8^{\frac{1}{3}x}[/tex]
At x=0,
[tex]f(0)=8^{\frac{1}{3}(0)}=8^0=1[/tex]
At x=1,
[tex]f(1)=8^{\frac{1}{3}(1)}=8^{\frac{1}{3}}=2[/tex]
At x=2,
[tex]f(2)=8^{\frac{1}{3}(2)}=8^{\frac{2}{3}}=4[/tex]
At x=3,
[tex]f(3)=8^{\frac{1}{3}(3)}=8^{1}=8[/tex]
The graph of f(x) passing through the points (0,1), (1,2), (2,4),(3,8).
According to these coordinates we can say that the graph of f(x) is represented by option 2.
Therefore correct option is 2.
Item 10 A restaurant earns $1240 on Friday and $921 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.
If (x)=x/2-2 and g(x)=2x2+x-3, find (f+g)(x)